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223312200000 = 263552231669
BaseRepresentation
bin1100111111111001110…
…0011100000101000000
3210100102000022010222020
43033332130130011000
512124320410400000
6250331015241440
722063612244451
oct3177634340500
9710360263866
10223312200000
1186784a0809a
1237342979280
131809ac8b166
14ab4623b128
155c1eda2ba0
hex33fe71c140

223312200000 has 336 divisors, whose sum is σ = 742267491840. Its totient is φ = 59247360000.

The previous prime is 223312199993. The next prime is 223312200043. The reversal of 223312200000 is 2213322.

223312200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133799166 + ... + 133800834.

It is an arithmetic number, because the mean of its divisors is an integer number (2209129440).

Almost surely, 2223312200000 is an apocalyptic number.

223312200000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223312200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371133745920).

223312200000 is an abundant number, since it is smaller than the sum of its proper divisors (518955291840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223312200000 is an equidigital number, since it uses as much as digits as its factorization.

223312200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 223312200000 its reverse (2213322), we get a palindrome (223314413322).

The spelling of 223312200000 in words is "two hundred twenty-three billion, three hundred twelve million, two hundred thousand".